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Finding the Fourth Proportional to 400.76, 600.66 and 169.57

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Solution

The fourth proportional to 400.76, 600.66 and 169.57 is: 254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.76 : 600.66 = 169.57 : x
  2. Step 2: Convert to fraction form
    400.76/600.66 = 169.57/x
  3. Step 3: Cross multiply
    400.76x = 600.66 × 169.57
  4. Step 4: Simplify right side
    400.76x = 101,852.41
  5. Step 5: Solve for x
    x = 101,852.41/400.76
  6. Step 6: Final answer
    x = 254.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.